Which relation is a direct variation that contains the ordered pair (2, 7) ?

Y=4x-1

y=2/7x

y=7/2x

y=7/x

Lets write equation of a function:

y = kx + n

Direct variation in simple is equation of a line which has n=0 or in other words which y to x ratio is k.

First option gets 7=7 but it isnt direct variation because n is not equal to 0

third option is indeed correct. once we implement coordinates (2,7) we get 7=7

Answer is

y = 7/2x